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Finding the Fourth Proportional to 237.82, 356.86 and 201.70

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Solution

The fourth proportional to 237.82, 356.86 and 201.70 is: 302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.82 : 356.86 = 201.70 : x
  2. Step 2: Convert to fraction form
    237.82/356.86 = 201.70/x
  3. Step 3: Cross multiply
    237.82x = 356.86 × 201.70
  4. Step 4: Simplify right side
    237.82x = 71,978.66
  5. Step 5: Solve for x
    x = 71,978.66/237.82
  6. Step 6: Final answer
    x = 302.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.